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equivalence of categories

abstract mathematics relationship
Thing equivalence_relation Q1082992
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equivalence of categories

Summary

equivalence of categories is an equivalence relation[1]. It draws 199 Wikipedia views per month (equivalence_relation category, ranking #3 of 7).[2]

Key Facts

  • equivalence of categories's instance of is recorded as equivalence relation[3].
  • equivalence of categories is a type of fully faithful functor[4].
  • equivalence of categories is a type of essentially surjective functor[5].
  • equivalence of categories is the opposite of dual equivalence[6].
  • equivalence of categories's studied by is recorded as category theory[7].

Body

Definition and Type

equivalence of categories's instance of is recorded as equivalence relation[3]. Recorded subclass of include fully faithful functor[4] and essentially surjective functor[5]. It is the opposite of dual equivalence[6].

Why It Matters

equivalence of categories draws 199 Wikipedia views per month (equivalence_relation category, ranking #3 of 7).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[8]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [8] ↑ . Wikidata sitelinks. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). equivalence of categories. Retrieved May 3, 2026, from https://4ort.xyz/entity/equivalence-of-categories
MLA “equivalence of categories.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/equivalence-of-categories.
BibTeX @misc{4ortxyz_equivalence-of-categories_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{equivalence of categories}}, year = {2026}, url = {https://4ort.xyz/entity/equivalence-of-categories}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): equivalence of categories — https://4ort.xyz/entity/equivalence-of-categories (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 19d ago · 慈居 · 2026-08-06 view diff on Wikidata ↗
    Instance of → —
    Subclass of → fully faithful functor, essentially surjective functor
    Studied by → category theory
    Subclass of → —
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P279]]: [[Q140914670]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.